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There are two possible digits for the first and last digit, and two possible digits for the centre digit, making 2 × 2 = 4 possible 3 digit palindromes from the set {1, 2}, namely the set {111, 121, 212, 222}.

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Q: How many different three digit palindromes can you make using only the digits 1and 2?
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Related questions

How many different palindromes are there with 6 digits?

For there to be palindromes, each digit must be replicated. Therefore there are at most three distinct digits.If there are 3 pairs of different digits, then there are 6 palindromes. If there can be more duplicate digits, then there are 27 palindromes.


How many different three-digit palindromes can you make using only the digits 1 and 2?

111, 121, 212, 222


Can 100 different digits make 100 multiplied by 100 equal 10000 different three digits palindromes?

Yes. But that is true only if the 100 digits do not include 0. Or, if 0 is included, then you consider "0n0" to be a three digit number. Most people would consider is to be a 2-digit number.


What is the maximum number of different three digit palindromes you can make using any digit?

There are 10 digits, but for a three digit number the first number cannot be a 0. Thus: there is a choice of 9 digits for the first (and last digit which must be the same), with 10 choices of digit for the second (middle) digit, making 9 × 10 = 90 such palindromic numbers.


What are the three digit palindromes that you can make only using the digits 1 and 2?

111, 121, 222, 212


What is the smallest three-digit number with all the digits different?

102 is the smallest three digit number with different digits.


How many three-digit palindromes can you make using only the digits 1 and 2?

111, 121, 222, 212


How many different three-digit palindromes can you make using only the digits 1 2 and 3?

111, 121, 131, 222, 212, 232, 333, 313, 323


Smallest 8 digit number with 3 different digits?

smallest 8 digit number with three different digits


What three digit number whose digits are all odd and different has a sum of the three digits that is palindromic?

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How many three digit palindromes are divisible by 11?

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What is the highest 7 digit number with 3 different digits?

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